Question

the parallel sides of a trapezium are 20 cm and 10 cm. Its non parallel are both equal each being 13cm. Find the area of the trapezium.​

Answer 1

Answer:

$180\ \text{cm}^2$

Step-by-step explanation:

a = 20 cm

b = 10 cm

c = 13 cm

Distance between the parallel sides is found using the Pythagoras theorem.

$h=\sqrt{c^2-d^2}$

$\Rightarrow h=\sqrt{13^2-5^2}$

$\Rightarrow h=12\ \text{cm}$

Area of a trapezium is given by

$A=\dfrac{a+b}{2}h$

$\Rightarrow A=\dfrac{20+10}{2}\times 12$

$\Rightarrow A=180\ \text{cm}^2$

The area of the trapezium is $180\ \text{cm}^2$